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Finding the Fourth Proportional to 137,608.53, 189,723.99 and 89,124.81

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Solution

The fourth proportional to 137,608.53, 189,723.99 and 89,124.81 is: 122,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.53 : 189,723.99 = 89,124.81 : x
  2. Step 2: Convert to fraction form
    137,608.53/189,723.99 = 89,124.81/x
  3. Step 3: Cross multiply
    137,608.53x = 189,723.99 × 89,124.81
  4. Step 4: Simplify right side
    137,608.53x = 16,909,114,561.19
  5. Step 5: Solve for x
    x = 16,909,114,561.19/137,608.53
  6. Step 6: Final answer
    x = 122,878.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.